Exact Simulation Method VSWIE+MLFMA for Analysis Radiation Pattern of Probe-Feed Conformal Microstrip Antennas and the Application of Synthesis Radiation Pattern of Conformal Array Mounted on Finite-Length PEC Circular Cylinder With DEs

Abstract

A method based on volume-surface-wire integral equation (VSWIE) and the multi-level fast multi-pole algorithm(MLFMA) procedure is introduced which allows the radiation patterns of microstrip patch antennas mounted on finite-length PEC circular cylinder to be computed accurately as well as efficiently. In this approach, the entire structure comprising the patch, ground plane, dielectric substrate and probe feed is included in the solution domain. And the VSWIE method obtains the equivalent currents on the patch, ground, probe, and in the dielectric slab via the Method of Moments and multi-level fast multi-pole algorithm. The pattern, which was called active element pattern, of each element is calculated with other elements terminated in 50Ω. It is important to take into account the main mutual coupling between two adjacent elements and also between elements and platform. After that the Differential Evolution (DE) synthesis procedure is introduced to yield a desired or specified far-field radiation pattern. The results of optimization are shown to yield the desired main beam steered and the side lobe level to the correct angle for this eight-element linear array mounted on a circularly cylindrical platform. And the efficiency is proved that the time cost between two generations is only one second.